Question

||3x-2|+3|=-7 ||4x+3|-5|=-8

Answer 1

Ответ:

Пошаговое объяснение:

1. 3x=7-3+2

3x=6

x=6÷3

x=2

2. 4x+3=13

4x=10

x=10/4

x=2.5

Answer 2

To solve the given equations, let's break them down into two separate cases and solve them individually.

Case 1: 3x - 2 + 3 = -7

Adding 2 to both sides: 3x + 3 = -5

Subtracting 3 from both sides: 3x = -8

Dividing both sides by 3: x = -8/3

Therefore, in this case, the solution is x = -8/3.

Case 2: 3x - 2 - 3 = -7

Subtracting 2 from both sides: 3x - 5 = -7

Adding 5 to both sides: 3x = -2

Dividing both sides by 3: x = -2/3

Therefore, in this case, the solution is x = -2/3.

Now, let's solve the second equation:

Case 1: 4x + 3 - 5 = -8

Simplifying: 4x - 2 = -8

Adding 2 to both sides: 4x = -6

Dividing both sides by 4: x = -6/4

Simplifying: x = -3/2

Therefore, in this case, the solution is x = -3/2.

Case 2: -(4x + 3) - 5 = -8

Expanding the negative sign: -4x - 3 - 5 = -8

Combining like terms: -4x - 8 = -8

Adding 8 to both sides: -4x = 0

Dividing both sides by -4: x = 0

Therefore, in this case, the solution is x = 0.

In summary, the solutions to the given equations are: x = -8/3 x = -2/3 x = -3/2 x = 0